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Simplifying 15x + -8 + 3x = 6(5x + -3) + 6 Reorder the terms: -8 + 15x + 3x = 6(5x + -3) + 6 Combine like terms: 15x + 3x = 18x -8 + 18x = 6(5x + -3) + 6 Reorder the terms: -8 + 18x = 6(-3 + 5x) + 6 -8 + 18x = (-3 * 6 + 5x * 6) + 6 -8 + 18x = (-18 + 30x) + 6 Reorder the terms: -8 + 18x = -18 + 6 + 30x Combine like terms: -18 + 6 = -12 -8 + 18x = -12 + 30x Solving -8 + 18x = -12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -8 + 18x + -30x = -12 + 30x + -30x Combine like terms: 18x + -30x = -12x -8 + -12x = -12 + 30x + -30x Combine like terms: 30x + -30x = 0 -8 + -12x = -12 + 0 -8 + -12x = -12 Add '8' to each side of the equation. -8 + 8 + -12x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -12 + 8 -12x = -12 + 8 Combine like terms: -12 + 8 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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